Competition Among Manufacturers in Technological Innovation in the Market with Delayed Information

The search for information in memory of technological competition process in the market is analysed using techniques widespread in biomathematics. Here we examined the effects that delayed information causes in choosing strategies process on the part of manufacturers to supplant a technology by introducing an alternative one. A differential-equation system with delays is presented to describe the dynamics of an endogenous model with memory. Situations of competition in which the market has several manufacturers using the same technologies and are in competition are analyzed. Conditions for stability and existence of periodic oscilations by means of Hopf bifurcation is investigated.